Pith Number

pith:6W2HQACB

pith:2016:6W2HQACBPZ5DNBO75R6D3KI6V3

not attested not anchored not stored refs pending

Geometric characterization of mixed quantum states

Hoshang Heydari

arxiv:1612.06410 v2 · 2016-12-19 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6W2HQACBPZ5DNBO75R6D3KI6V3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:31:13.531056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b47800417e7a3685dfec7c3da91eaefcb22d9cefa803ae3991210b47756bf0

Aliases

arxiv: 1612.06410 · arxiv_version: 1612.06410v2 · doi: 10.48550/arxiv.1612.06410 · pith_short_12: 6W2HQACBPZ5D · pith_short_16: 6W2HQACBPZ5DNBO7 · pith_short_8: 6W2HQACB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6W2HQACBPZ5DNBO75R6D3KI6V3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f5b47800417e7a3685dfec7c3da91eaefcb22d9cefa803ae3991210b47756bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae47c30e5aec70ade1c7e608631ec1bcd7774b4697411f97032a4736309b876",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-19T21:10:57Z",
    "title_canon_sha256": "12bbd65345c9e8af78bb1417760a08bd8167a61e38c0b5b2ff1870a01724e44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06410",
    "kind": "arxiv",
    "version": 2
  }
}